Spreading speeds and traveling waves for non-cooperative reaction-diffusion systems

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Abstract

Much has been studied on the spreading speed and traveling wave solutions for cooperative reaction-diffusion systems. In this paper, we shall establish the spreading speed for a large class of non-cooperative reaction-diffusion systems and characterize the spreading speed as the slowest speed of a family of non-constant traveling wave solutions. Our results are applied to a partially cooperative system describing interactions between ungulates and grass.

Original languageEnglish (US)
Pages (from-to)747-783
Number of pages37
JournalJournal of Nonlinear Science
Volume21
Issue number5
DOIs
Publication statusPublished - Oct 2011

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Keywords

  • Non-cooperative systems
  • Reaction-diffusion systems
  • Spreading speed
  • Traveling waves

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Engineering(all)

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